What is the domain of f(x)=log_{2/x}(3^x) ?

The domain of f(x)=log_{2/x}(3^x) is 0 2

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domain of f(x)=log_{2/x}(3^x)

domain

f (x) = lo g_{\frac{2}{x}} (3^{x})

0 < x < 2 or x > 2

Interval Notation

(0, 2) \cup (2, \infty)

Solution steps

Check logs domain:

0 < x < 2 or x > 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x < 2 or x > 2

f (x) = (x + 9)^{\frac{1}{4}}

\frac{x ^{2} - 16}{x - 3}

f (x) = 3 x^{2} - 3 x + 1

3 t - 3

f (0) = x - 1

What is the domain of f(x)=log_{2/x}(3^x) ?
The domain of f(x)=log_{2/x}(3^x) is 0<x<2\lor x>2